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A uniform wire AB of length 1 m, an unkn...

A uniform wire AB of length 1 m, an unknown resistance X and a resistance of `12 Omega` are connected to a battery and a galvanometer G as shown in the figure. The galvanometer shows no deflection when AJ=60 cm. What is the value of X (in ohm) ?

A

`6 Omega`

B

`8 Omega`

C

`10 Omega`

D

`4 Omega`

Text Solution

Verified by Experts

The correct Answer is:
B
The given circuit is redrawn as follows.

This is a balanced Wheatstone's bridge. Hence
`(X)/(12)=(BJ)/(AJ)=(40)/(60)`
`therefore X=8 Omega`
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